19164 has 12 divisors (see below), whose sum is σ = 44744. Its totient is φ = 6384.

The previous prime is 19163. The next prime is 19181. The reversal of 19164 is 46191.

19164 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 19164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 787 + ... + 810.

2¹⁹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

19164 is an abundant number, since it is smaller than the sum of its proper divisors (25580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372).

19164 is a wasteful number, since it uses less digits than its factorization.

19164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1602 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 19164 is about 138.4340998454. The cubic root of 19164 is about 26.7605717087.

The spelling of 19164 in words is "nineteen thousand, one hundred sixty-four".